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Simplifying q + (1 + -1q) = -5q + (1 + -1q) Remove parenthesis around (1 + -1q) q + 1 + -1q = -5q + (1 + -1q) Reorder the terms: 1 + q + -1q = -5q + (1 + -1q) Combine like terms: q + -1q = 0 1 + 0 = -5q + (1 + -1q) 1 = -5q + (1 + -1q) Remove parenthesis around (1 + -1q) 1 = -5q + 1 + -1q Reorder the terms: 1 = 1 + -5q + -1q Combine like terms: -5q + -1q = -6q 1 = 1 + -6q Add '-1' to each side of the equation. 1 + -1 = 1 + -1 + -6q Combine like terms: 1 + -1 = 0 0 = 1 + -1 + -6q Combine like terms: 1 + -1 = 0 0 = 0 + -6q 0 = -6q Solving 0 = -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. 0 + 6q = -6q + 6q Remove the zero: 6q = -6q + 6q Combine like terms: -6q + 6q = 0 6q = 0 Divide each side by '6'. q = 0 Simplifying q = 0
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